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2 years ago

Dana drives her car 12 miles in 30 minutes... Find the number of miles she drives in 1 hour

Mathematics

1 answer:

Mashutka [201]2 years ago

3 0

Answer:

Step-by-step explanation:

12 miles is done in 30 minutes, so if you multiply 12 x 2 (because 30+30=60 and 60 minutes = an hour) you would get the answer of 24.

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The mean income per person in the United States is $44,500, and the distribution of incomes follows a normal distribution. A ran

Artist 52 [7]

Answer:

We conclude that the residents of Wilmington, Delaware, have higher income than the national average

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = $44,500

Sample mean, $\bar{x}$ = $52,500

Sample size, n = 16

Alpha, α = 0.05

Sample standard deviation, s = $9,500

a) First, we design the null and the alternate hypothesis

$H_{0}: \mu = 44,500\text{ dollars}\\H_A: \mu > 44,500\text{ dollars}$

We use one-tailed(right) t test to perform this hypothesis.

c) Formula:

$t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}} }$

Putting all the values, we have

$t_{stat} = \displaystyle\frac{52500 - 44500}{\frac{9500}{\sqrt{16}} } = 3.37$

b) Rejection rule

If the calculated t-statistic is greater than the t-critical value, we fail to accept the null hypothesis and reject it.

Now,

$t_{critical} \text{ at 0.05 level of significance, 15 degree of freedom } = 1.753$

Since,

$t_{stat} > t_{critical}$

We fail to accept the null hypothesis and reject it. We accept the alternate hypothesis. We conclude that the residents of Wilmington, Delaware, have higher income than the national average

5 0

3 years ago

Please help it’s finding sin C , cos C and tan C

Aloiza [94]

The given triangle has a right angle.

We use the mnemonics SOH-CAH-TOA.

1i) $\sin C =\frac{Opposite}{Hypotenuse}$ , $\implies \sin C =\frac{30}{34}$ , $\implies \sin C =\frac{15}{17}$

ii) $\cos C =\frac{Adjacent}{Hypotenuse}$ , $\implies \cos C =\frac{16}{34}$ , $\implies \cos C =\frac{8}{17}$

$\tan C =\frac{Opposite}{Adjacent}$ , $\implies \tan C =\frac{30}{16}$ , $\implies \tan C =\frac{15}{8}$

2. We want to find the hypotenuse.

We know an angle to be 23 degrees.

We were also given the side opposite to this angle to be 1200km.

Therefore we use the sine ratio.

6 0

3 years ago

Read 2 more answers

The formula to find the perimeter of a rectangle is: P = 2W + 2L. To solve for " W " in this formula, which steps should be foll

netineya [11]

Since the 2L is not being multiplied or divided, and it's positive, we will subtract it from both sides. Since the W is being multiplied by the 2, we'll also need to divide both sides by 2.

Your answer is B.

Don't forget to rate this answer the Brainliest!

3 0

3 years ago

Read 2 more answers

Another question 5x + 8 = 7x + 2

DochEvi [55]

Answer: x=3

Step-by-step explanation: Subtract 2 from both sides and subtract 5x from both sides. Then you'll end up with 6 = 2x. Then divide through by 2 on both sides and you're left with x=3.

8 0

2 years ago

What is the answer for 10x + 75 - 5x =110?

Citrus2011 [14]

7 would be your answer :D

8 0

3 years ago